Writing response papers
How To Choose A Topic For A Position Paper
Thursday, September 3, 2020
Electronic commerce Essay Example for Free
Electronic business Essay TroniXkart is segment amp; advancement apparatuses sourcing division of Hogst Innovative Solutions Pvt. Ltd. With its worldwide tie up with worldwide organizations like Sparkfun, Seeedstudio and so forth, things with universal principles is being sold in TroniXkart. Likewise neighborhood things, with Indian principles appropriate for Indian workplace is sold after cautious testing and benchmarking the unwavering quality. We center and help the inventive personalities to think of an imaginative thought, for the fruition of their fantasy ventures. Beat it mechanical autonomy, remote sensors, computerized capacity gadgets, anything can be purchased through the site. It has such a large number of highlights which gives an edge over upon the contenders. The surveys of items by past client assume a significant job in choosing the correct gear. TroniXkart refreshes the surveys, fresh debuts, serious items audits, which help the clients to get the item without making a lot of equivocalness. Another component of TroniXkart is the delivery amp; returns strategy, which makes it accessible the correct items requested at the opportune time and at the ideal spot. Bangalore based office unit and distribution center deals with the conveyance and after deal administration of TroniXkart. Another alluring component of TroniXkart is the blessing coupons given to the devoted clients. This ensures the clients are served appropriately considerably after the post buy stage. Blessing coupons give the opportunity of getting the items not exactly the market cost without letting down the quality. Its classified presentation of items assists with becoming more acquainted with about ongoing advancements in the electronic zone. So in this quick moving internet business period, where you can arrange cakes, blossoms and even dresses, shoes, TroniXkart gives the electronic parts which comprehensively acknowledged.
Saturday, August 22, 2020
Example Sentences of the Verb Bring for ESL Learners
Model Sentences of the Verb Bring for ESL Learners This page gives model sentences of the action word acquire all tenses in English. Study instances of positive and negative sentences, just as questions. Make sureâ Infinitive: To Bring Utilize the infinitive structure to carry when joining with action words that accept infinitives as an article: She wants to bring that up at the gathering. Base Form: bring Utilize the base structure unite with helping action words in the current straightforward, past basic, and future basic: Do you typically carry your schoolwork to class?They didnt bring any updates on the situation.They wont carry anything to eat. Past Simple: brought Utilize the past straightforward acquired positive sentences with the past basic: Diminish brought his racket last weekend.â Past Participle: brought Utilize the past participle got past, present, and future impeccable structures: Hes carried various companions to the gathering. They hadnt carried anything to eat, so they went out.She will have brought enough nourishment for everybody. Present Participle: bringing Utilize the current participle, or ing structure, for present, past, and future nonstop tenses, just as for all ideal consistent tenses: Shes bringing the beverages tonight.Tom was raising the thought when she interfered with him.They have been carrying a great deal of new data to the conversation. Every one of these structures is utilized with various tenses. Bring is an unpredictable action word and ought to be memorized.â Present Simple She frequently carries companions to work.How regularly do they carry their youngsters to work?Peter doesnt for the most part bring anything for lunch. Present Continuous Mary is carrying Jack to the gathering. For what reason are they raising that topic?We arent carrying our companions to the show.â Present Perfect I havent brought a lot of food today.How much cash have they brought to the table?She hasnt carried any schoolwork with her. Present Perfect Continuous She has been bringing her companions along for years.How long have you been raising that topic?They havent been carrying a lot to our potluck of late. Past Simple Alice carried another companion to the party.When did you carry that subject up with him?She didnt carry any baggage with her last end of the week. Past Continuous I was drawing out the current when she burst into the room.What were you raising when he intruded on you?He wasnt achieving any change when they let him go. Past Perfect The others had brought the food before they arrived.How numerous books had you brought to the examination session?She hadnt raised that subject until you referenced it.â Past Perfect Continuous She had been carrying various companions to work for quite a long time before her manager advised her to stop.How since a long time ago had they been carrying their lunch to work before they began eating in the cafeteria?She hadnt been bringing numerous companions around when he requested that her quit bringing anyone.â Future (Will) Janice will bring the dessert.What will you bring to the party?She wont bring that up at the meeting.â Future (Going to) I will carry the beverages to the party.When are you going to bring your companions around for a visit?They arent going to carry her instrument to the concert.â Future Continuous This time one week from now we will achieve various changes.What will you raise at the following meeting?She wont carry anything to eat, so were going out.â Future Perfect They will have brought enough food by six oclock.How ordinarily will you have brought a sweet before the finish of the year?We wont have brought enough steaks, so Ill go out on the town to shop. To keep learning, ensure you study other unpredictable action words and work on utilizing an assortment of tenses. Proceed with your attention on sporadic action words and work on utilizing an assortment of tenses. Proceed with your attention on carry with the accompanying test. Bring Quiz Utilize the action word acquire the right tense in the sentences beneath: I __________â the cake to the gathering before he arrived.Weà __________à the item out twenty years ago.Whoà __________ the wine to the party?I think Tomâ __________ his better half to the gathering, yet Im not sure.Alex alwaysâ __________â work home with him.She ______________ up the point when he discourteously interrupted.Theyà __________à many companions to supper since they moved here two years ago.Susan ____________ a couple of companions over before I arrived.Sheà __________ the rundown at the present time. Dont worry.My neighborâ _______ up a couple of themes at the gathering last week.â Answers: had broughtbroughtwill bring/is going to bringwill bringbringswas bringinghave broughtâ had broughtâ is bringingbrought
Friday, August 21, 2020
Tourism Botswana
As of now, Botswana has formed It's travel Industry Into one that cooks for the extravagance voyager; offering top of the line safaris and luxurious lodging. Nonetheless, Botswana two shopping center economies are going to a crossroads and the capacity to keep up the development that their economy is encountering will be straightforwardly dictated by which way the nation eventually picks. The Dilemma Diamonds, in truth, are not everlastingly and experts foresee that Botswana precious stone hold will be fundamentally lessened in twenty years.With the gigantic benefits that jewels bring, Botswana concentrated on the precious stone industry and as result the economies absence of expansion is clear. Botswana now needs o tackle this issue while there is still time to appreciate the advantages of the jewel business and start making the vital arrangements for Its inevitable substitution. The travel industry, It appears, Is the common advance for the nation to take, yet it comes with Its own challenges.Countries everywhere throughout the world face a pay task; the battle to discover a harmony between encouraging a developing economy while both ensuring and slowing down nature. On the off chance that Botswana decides to grow its travel industry, there will be incorporated, that will be the primary fascination. So, it is movement of the economy raises the protection of the earth. Affected Parties Ultimately, it is the untamed life and the scene that will follow through on the greatest expense if a deluge is the travel industry is too steep.As people move further and further into immaculate land, our imprint is self-evident; contamination, development, and loss of living space will happen. Preservation endeavors will be significant ââ¬Å"Because the travel industry tends to demolish or if nothing else jeopardize its own advantages, the insurance and protection of its common habitat is imperativeâ⬠(BID). Preservation bunches in Botswana will be anxious to hear what estimates will be taken to ensure the earth.
Saturday, June 13, 2020
Research Paper 4 Whatââ¬â¢s Wrong With Democracy Today - 1100 Words
Research Paper 4: What's Wrong With Democracy Today? (Term Paper Sample) Content: Paper 4NameInstitutionPaper 4According to Rousseau, a democracy exists in a state when all or most of its citizens are magistrates (Cunningham, 2002). Events which have characterized the world over the recent past certainly show that people are changing their opinions towards the benefits of democracy. Statistics from Freedom House, an organization operating as a watchdog for democracy and freedom, indicates that the number of nations considered to be free increased steadily from the mid-1970s to early 2000s. The period after the cold war saw many Latin American nations transit from military dictatorship to democratic regimes. Similarly, many countries in Eastern Europe quit military rule to embrace democracy within the same period. Moreover, states that were already using democratic leadership in this era grew much stronger and secure. However, from the year 2005 onwards, the appreciation of democracy in these nations started to plummet, according to Freedom House. C ertainly therefore, the world is seeing a dissatisfaction with the functionality of democracy (Taub, 2016).According to Mounk and Foa (2016), this decline in satisfaction index as reported by Freedom House can be owed to three factors. Firstly, it can be attributed to the extent to which the citizens of these countries view democracy as of importance to them. The second factor is the degree of public openness to nondemocratic government domains such as the military. Thirdly, it can be owed to the amount of support given to antisystem individuals and groups. Antisystem parties are those that view the prevailing regime as illegitimate hence worth of replacement. According to these scholars, Venezuela is a nation which recorded very high levels of support for democracy in the 1980s. However, in the year 1992, a faction of this countrys military loyal to President Hugo Chavez staged a coup, a clear indication that levels of democracy in this country had sharply declined. Military coups do not happen in truly democratic nations and an attempt of the same usually serves as an indication that democracy is plummeting. Hugo Chavez was elected as the President of Venezuela in the year 1998 and took the decision of cracking down dissent as his first priority. Silencing dissenting voices is certainly not allowed in a democracy, and therefore, this move indicated that democracy in Venezuela was declining (Taub, 2016).Poland was hailed as a post-communist democracy when it joined the European Union in the year 2004. In the year 2005, about 16% of the countrys citizens believed that democracy was a bad type of leadership. In the year 2012, approximately 22% of Poles reported favoring military rule. Clearly, this shows that the degree of dissatisfaction with democracy in this country has been on the rise over the years. Moreover, support for antisystem parties in this country has been on the increase over the years. People here were for instance reported to express high lev els of support for self-defense and the League of Polish Families in the mid-2000s. Other countries such as Netherlands, Sweden, United States and New Zealand have been registering a decline in the number of citizens who support democracy. This dissatisfaction with democracy is especially high among young people. In the United States, only 1 in 16 people were reportedly viewing a military rule as a good thing in the year 1995. In the year 2014, the number of Americans supporting army rule had risen to 1 in every 6 people. These statistics certainly show that the functionality of democracy is in doubt and it is for this reason that the citizens of theoretically democratic countries are getting increasingly dissatisfied with this form of leadership. It is actually for this reason that Donald Trump won the presidential elections of 2016. Trump had presented himself as an antisystem candidate during the campaigns (Taub, 2016).Looking at Rousseau, these reasons are convincing. He is very skeptical about the viability of a democracy and asserts that, in reality, a true democracy has actually never existed. Moreover, Rousseau argues that, in many states, the affairs of the government are controlled by only a few individuals, thereby, making the possibility of having a successful and true democracy an impractical phenomenon. For true democracy to exist successfully, a state must be characterized by the presence only a small number of citizens. Additionally, these citizens must be honest and have little ambition as well as negligible greed. Certainly, the present purported democratic states do not meet these criteria; hence, they are only democratic on paper (Cunningham, 2002).Democracies can be fixed only if governments strive to deliver as opposed to just claiming that they are democratic. Certainly, democracy is not the default. On the contrary, democratic regimes can only deliver their mandate to the public if the leaders are determined to do so. In many countries where putative democratic regimes are tumbling, people make the mistake of voting politicians into power just because they claim to stand for democracy. Athens for instance gave democracy a chance about 250 years ago. The regime that was elected on the strength of democracy ruled effectively until recently when the country entered into a state of bankruptcy. When honest democracy was given a chance, Athens regi...
Sunday, May 17, 2020
A Dolls House Book Report - 1961 Words
A Dollââ¬â¢s House by: Henrik Ibsen Main Characters â⬠¢ Nora Hemler ââ¬â The protagonist of the play and the wife of Torvald Helmer. Nora initially seems like a playful, naà ¯ve child who lacks knowledge of the world outside her home and a bit of a ditz. When her husband, Torvald, calls her things like his little squirrel, his little lark, and, worst of all, a featherhead, she doesn t seem to mind. Experiences and knowledge have enabled her to see her position in her marriage with increasing clarity and finds the strength to free herself from her oppressive situation. â⬠¢ Torvald Hemler ââ¬â Noraââ¬â¢s husband. Torvald enjoys in his new position at the bank, just as he delights in his position of authority as a husband. He treats Nora like aâ⬠¦show more contentâ⬠¦Mrs. Linde assumes that Dr. Rank is the person that Nora borrowed money from, but Nora denies it and doesnââ¬â¢t tell her who the real person is. Torvald shows up. Nora begs him to not fire Krogstad. Her begging only angers off Torvald, and he tells the maid to send Krogstad his notice. Torvald goes to his office. Nora then had a plan to ask Dr. Rank for the remainder of the money that she owes, but her plan fails when he tells her that he will be dying soon and that he is in love with her. She feels guilty and doesnââ¬â¢t ask. As Dr. Rank goes in to see Torvald, Krogstad comes storming in, upset that he was fired. He yelled at Nora and then put blackmail in Torvaldââ¬â¢s mailbox on the way out. In a fret, Nora tells Mrs. Linde everything. Mrs. Linde explains t hat she used to have a relationship with Krogstad that maybe she could change his mind. Mrs. Linde leaves to give a note to Krogstad, while Nora has to keep Torvald from reading the letter. The next night, while the costume party was taking place, Krogstad met up with Mrs. Linde to talk. The conversation revealed that they were once both deeply in love with one another, but Mrs. Linde left him for another wealthier man. She then confesses that she wants to get back with him. He accepts. They agree that they would leave Krogstadââ¬â¢s letter for Torvald to read because it would be better if Krogstad knew what his wife did for him. They ranShow MoreRelatedA Woman s Prison By Henrik Ibsen Essay1410 Words à |à 6 PagesA Womanââ¬â¢s Prison Ibsenââ¬â¢s pla y, A Dollââ¬â¢s House immediately encountered a spectrum of reactions--ranging from strong support to harsh criticism--following its premier in 1879. Controversy came about over Noraââ¬â¢s role as an independent woman who makes her own decisions. The publicââ¬â¢s immediate response to Ibsenââ¬â¢s play reflects the shift occurring within society, centered on gender roles and womenââ¬â¢s place in the mid to late 19th century. Ibsenââ¬â¢s portrayal of women through Noraââ¬â¢s role explores the ideasRead MoreMattel s Iconic And Best Selling Brand924 Words à |à 4 Pagesand teenagers. The post-war era saw a strong economy advancing the middle class suburban families. Now, buying toys became a year round business versus holiday or luxury items. Barbieââ¬â¢s image has since transitioned from the archaic glamourous 50ââ¬â¢s house wife to an image that has become a part of the American fabric, by reflecting the women of each generation. The Barbie brand is known for its lucrative collaborations, having created collectorââ¬â¢s items for iconic brands such as Chanel, Oscar De La RentaRead MoreAtonement -Female Disempowerment2579 Words à |à 11 PagesIn their reflection on the past modern writers present the experiences of a woman as one of disempowerment. To what extent do you agree with this proposition? Angela Holdsworth foregrounds the changed position of women in her book Out of the Dolls House where women are no longer content to endure the treatment which in past times their inferior position obliged them to suffer.ââ¬â¢ The use of obliged suggests how passively women had to accept their lower role under men and how they were unable toRead More Comic Art: The Seduction of the Innocent Essay3314 Words à |à 14 Pagescomic book series The Sandman was selected by a panel of experts in the field as the Years Best Short Story. This was not the first time that a comic book has been nominated for a prestigious literary prize (the first and only previous one being Art Spiegelmans retelling of the Holocaust in animal fable form Maus for the National Book Critics Circle Award in 1987), but it was the first to have won. The ensuing uproar at the awards ceremony and the umbrage that many took at a mere comic book winningRead More Victorian Women in the Work Force Essay2881 Words à |à 12 Pagesof creating a family (Dunhill 23). Within the family, the wife would provide the meals, care for the children, and prepare for any social gatherings that may occur at the house. Often times, the husband provided enough money so that the woman would not have to work, reinforcing the stereotype that women could not work. In a book that explores the lives of gentlewomen during this period, the author notes that ââ¬Å"Fathers, brothers, and husbands provided for their material needs,â⬠and so the women wereRead MoreA Dolls House by Henrik Ibsen Essay1759 Words à |à 8 PagesA Dolls House by Henrik Ibsen We have all felt the need to be alone or to venture to places that our minds have only imagined. However, we as individuals have always found ourselves clutching to our responsibilities and obligations, to either our jobs or our friends and family. The lingering feeling of leaving something behind or of promises that have been unfulfilled is a painRead MoreAustralia as a patriarchal society2138 Words à |à 9 Pagesprolonged on the assumption that study desiccates women, and renders them ugly, bespectacled, and angular (Encel Campbell, 1991). All qualities, of course that makes a woman less of a woman in conservative sociological eyes. Within school systems, a report dealing with sexism in education (1977) by the NSW government, refers to inadequacy of career advice, reflecting stereotyped attitudes amoung teachers and parents (cf. Encel Campbell, 1991). In 1965 a Headmaster of a school in Melbourne stated,Read More Use of Attics in Literature Essay4376 Words à |à 18 Pagesassumed that attics house madwomen. But they use that concept as a metaphor for their thesis, that women writers were isolated and treated with approbation. In most literature, attics are dark, dusty, seldom-visited storage areas, like that of the Tulliver house in The Mill on the Floss--a great attic under the old high-pitched roo f, with worm-eaten floors, worm-eaten shelves, and dark rafters festooned with cobwebs--a place thought to be weird and ghostly. Attics do not house humans (not evenRead Morechild development essay5345 Words à |à 22 Pagesobservation I was given permission after a discussion with the Manager. The Manager a female white British wanted an explanation as to why I chose their nursery and no other nursery in the area. I explained that I have checked their OFSTED inspection report and that the nursery is of high standard and that the observation was strictly academic and information obtained will be kept confidential. The letter from the university and my criminal record bureau (CRB) were verified. I could also sense that theyRead MoreEvolution or Revolution - Recurring ideas in Ibsen, ONeill and Shepard3024 Words à |à 13 Pagesreflects that of Marys mother.quot; (Bigsby p.99). Edmund also inherits his mothers love of isolation, symbolically immersing himself in the approaching fog saying, quot;The fog was where I wanted to be. Halfway down the path you cant see this house. Youd never know it was here. Or any of the other places down the avenue. I couldnt see but a few feet ahead. I didnt meet a soul.quot; (Long Days Journey into Night p.78), Bigsby theorises, quot;For Mary and Edmund it [the fog] is welcome, for
Wednesday, May 6, 2020
Lucinda Matlock Poem Analysis - 936 Words
Edgar Lee Masters is best known for his book Spoon River Anthology. Spoon River Anthology is considered by some critics, like Ernest Earnest, to be one of the greatest poetry collections in American literature. One of the most popular poems in Spoon River Anthology is ââ¬Å"Lucinda Matlock.â⬠In ââ¬Å"Lucinda Matlock,â⬠Masters concocts a fictional character, who is based on his grandmother, that tells readers from beyond the grave about the beauty and the pain that she faced in her life. The paradox of having beauty and pain at the same time contributes to the theme of not letting your sorrows overcome you and loving life for what life is. Throughout the entire poem, Lucinda Matlock is talking to the readers about her life. Lucinda starts off withâ⬠¦show more contentâ⬠¦She says she was married and had twelve kids, outliving eight of them. She is considering her life in these lines as enjoyable, even with it being strenuous and focused around work. These four lines also lack emotion because she just blankly states her marriage and the loss of her children. These lines show the stoicism that makes it possible for her to survive her difficult life. This is an example of the paradox of having both beauty and pain at the same time. Another example of the paradox is found in lines ten through fifteen. In these lines, Lucinda is describing how she spends her days. She has many domestic chores that focus on keeping a household. Those chores range from tending to her sick husband and children to making clothes. The poem then shifts to her work outdoors. While she is working in the garden, she reminisces about walking through fields listening to the birds sing as a form of pleasure and recreation. The poem then shifts back to her home life of taking care of the sick in her family when she is collecting medicinal herbs outside. Even though she is still doing chores and work, Lucinda claims that she still enjoys life. The paradox of beauty and pain happening simultaneously contributes to the theme of notShow MoreRelatedPoetry Analysis Paper of Edgar Lee Masters and Amy Lowell1857 Words à |à 8 Pagesfarmland people. His poem ââ¬Å"Lucinda Matlockâ⬠is told to the reader from the protagonistââ¬â¢s, an old womanââ¬â¢s point of view, which makes this a dramatic monologue, because she talks about herself and her life. She does this as though she is reflecting back on her life, over a seventy year span. Mastersââ¬â¢ poem does not follow a specific rhythm and rhyme pattern that readers were previously used to before the modernist movement came about, making this a modern poem. ââ¬Å"Lucinda Matlockâ⬠was inspired by his
Mathematics Used in Arts and Architechture Essay Example For Students
Mathematics Used in Arts and Architechture Essay Mathematics and art have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio, regarded as an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid, deportation, the Coliseum. There are many examples of artists who have been inspired by mathematics and studied mathematics as a means of complementing their works. The Greek sculptor Polytheists prescribed a series of mathematical proportions for carving the ideal male nude. Renaissance painters turned to mathematics and many, including Piper Della Francesca, became accomplished mathematicians themselves. Contents 1 Overview k 2 Ancient times 2. 1 The Golden Ratio * 2. 1. 1 Pyramids * Parthenon 2. 1. 3 Great Mosque of Koruna k 2. 2 Polytheists k 3 Renaissance k 3. 1 Paolo Cello * 3. 2 Piper Della Francesca * 33 Notre Dame * 3. 4 Albrecht Dere -k 3. 6 Dad Vinci -k 4 Industrial and modern times 3. 5 De Divine Proportions 4. 1 Penrose tiles * 4. 2 Eden Project * 4. 3 California Polytechnic State University * 4. 4 M. C. Sheer 4. Salvador Dally * 4. 6 Pablo Palazzo 4. 7 John Robinson 4. 8 The Eightfold way 4. Fractal art 4. 10 Platonic solids inert *4. 11 Bridges conference * 5 See also * 6 References * 7 External links I alliterative Galileo Galilee in his II Agitators wrote that is written in the language of mathematics, and its characters are triangles, circles, and other geometric Artists who strive and seek to study nature must therefore first fully un derstand mathematics, On the other hand, mathematicians have sought to interpret and analyses art through the lens tot geometry and rationality. Edit]Ancient times little Golden Ratio The Golden Ratio, roughly equal to 1. 18, was first formally introduced in text by Greek mathematician Pythagoras and later by Euclid the SST century BC_ In the fourth century BC, Aristotle noted its aesthetic properties. Aside from interesting mathematical properties, geometric shapes derived from the golden ratio, such as the golden rectangle, the golden triangle, and Keeper s triangle, were believed to be aesthetically pleasing. As such, many works Of ancient art exhibit and incorporate the golden ratio in their design. Various authors can discern the presence Of the golden ratio in Egyptian, Sumerian and Greek asses, Chinese pottery, Elmer sculptures, and Cretan and Mycenaean products from as early as the late Bronze Age. The prevalence Of this special number in art and architecture even before its formal discovery by Pythagoras is perhaps evidence of an instinctive and primal human cognitive preference for the golden [disparities Pyramid of Chuff Evidence of mathematical influences in art is present in the Great Pyramids, built Byzantine Pharaoh Chuff and completed in CHUBB. Pharmacologists since the nineteenth century have noted the presence of the golden ratio in the design Of the ancient monuments. They note that the length Of the base edges range from 755?756 feet while the height of the structure is 481. 4 feet. Working out the math, the perpendicular bisector Of the side Of the pyramid comes out to 612 feet. (61 If we divide the slant height of the pyramid by half its base length, we get a ratio of 1. 619, less than 1% from the golden ratio. This would also indicate that half the cross-section of the Chuffs pyramid is in fact a Keepers triangle. Debate has broken out between prominent pharmacologists, including Temple Bell, Michael Rice, andiron Taylor, over whether the presence of the golden ratio n the pyramids is due to design or chance. Of note, Rice contends that experts of Egyptian architecture have argued that ancient Egyptian architects have long known about the existence of the golden ratio. In addition, three other parasitological, Martin Gardner, Herbert Turnbuckle, and David Preproduction that: Possible ratios for the Pyramid of Chuff: (Keepers Triangle), (3-4-5 Triangle), and 1:4/n Herodotus related in one passage that the Egyptian priests told him that the dimensions of the Great Pyramid ever so chosen that the area of a square whose side was the height of the great pyramid equaled the area of the triangle. 7] This passage, if true, would undeniably prove the intentional presence of the golden ratio in the pyramids. However, the validity of this assertion is found to be questionable. Critics of this golden ratio theory note that it is far more likely that the original Egyptian architects modeled the pyramid after the 3-4-5 triangle, rather than the Keepers triangle. According to the Rhine Mathematical Papyrus, an ancient papyrus that is the best example of Egyptians dating back to the Second Intermediate Period of Egypt, the Egyptians certainly knew about and used the 345 triangle extensively in thematic and architecture. While Keepers triangle has a face angle of 51049, the 305 triangle has a face angle of 5308, very close to the Keepers triangle. 191 Another triangle that is close is one whose perimeter is an the height such that the base to hypotenuse ratio is 1:4/re. With a face angle of SSL 050, it is also very similar to Keepers triangle, While the exact triangle the Egyptians chose to design their pyramids after remains unclear, the fact that the dimensions of pyramids correspond 50 strongly to a special right triangulates a strong mathematical influence in the last standing ancient wonder. Did]Parthenon The Parthenon is a temple dedicated the Greek goddess Athena, built in the 5th century BC on the Athenian Acropolis. It is contended that Aphids, the main Greek sculptor in charge of decorating the Parthenon, also knew about the golden ratio and its aesthetic properties. In tact, the Greek symbol for the Golden Ratio is named Phi (9) because of Pedophilia] The golden rectangle, a rectangles len gth to width ratio is the golden ratio and considered the most pleasing to the eye, is almost omnipresent in the facade and floor plans of the Parthenon. The entire facade may be enclosed within a golden rectangle. I I] The ratio of the length of a mettle endearingly to the height of the frieze, as well as the height of the columns and stalemate to the entire height of the temple is also the golden ratio. Aphids himself constructed many Parthenon statues that meticulously embody the golden ratio. [121 Aphids is also notable for his contributions to the Athena Parthenon and the Statue Of Zeus. As With the Pyramids however, more recent historians challenge the purposeful inclusion Of the golden ratio in Greek temples, such as the Parthenon, contending that earlier studies have purposefully fitted in measurements of the temple until it informed to a golden rectangle. Great Mosque of Koruna Floor plan of the Great Mosque of Koruna The oldest mosque in North Africa is the Great Mosque of Koruna (Tunisia), built by Alga bin Anti in 670 AD. Bassoon and Amazons study of the mosque dimensions reveals a very consistent application of the golden ratio in its design, Bassoon and Amazon contend: The geometric technique tot construction tot the golden section seems to have determined the major decisions of the spatial organization. The golden section appears repeatedly in some part of the building measurements. It is found in the overall proportion of the plan and in the dimensioning of the prayer space, the court and the minaret The existence of the golden section in some parts of Koruna mosque indicates that the elements designed and generated with this principle may have been realized at the same I Because of urban constraints, the mosques floor plan is not a perfect rectangle. Even so, for example, the division of the courtyard and prayer hall is almost a perfect golden ratio. Possession Roman Copy Of Doorposts, originally by Polytheists. It is the perfect example Of he ideal male nude, as characterized in toothache of Polytheists Polytheists the Elder (c. 450420B. C. ) was a Greek sculptor from the school Of Argos Who was also a contemporary of Aphids. His works and statues consisted mainly of bronze and were of athletes. According to the mathematician Exonerates, Polytheists is ranked as one of the most important sculptors of Classical antiquity for his work on the Dropouts and the statue of Hear in the Heroin of Argos. 114] While his sculptures may not be as famous as those Aphids, he is better known for his approach towards sculpture. In the Canon of Polytheists, a treatise e wrote designed to document the perfect anatomical proportions of the male nude, Polytheists gives us a mathematical approach towards sculpturing the human body. The influence of the Canon of Polytheists is immense hot nonsensical Greek, Roman, and Renaissance sculpture, with many sculptors after him following Polytheists prescription. While none of Polytheists original works survive, Roman copies of his works demonstrate and embody his ideal of physical perfection and mathematical precision. Some scholars contend the influence of the mathematician Pythagoras on the Canon of Polytheists. IS] The Canon applies the basic mathematical concepts of Greek geometry, such as the ratio, proportion, and symmetric (Greek for harmonious proportions) and turns it into a system capable of describing the human form through a series of continuous geometric progressions. Polytheists starts with a specific human body part, the distal phalanges of the little finger, or the tip of the little finger to the first joint, and establishes that as the basic module or unit for determining all the Other proportions Of the human body. From that, Polytheists multiplies the length by radical 2 (1. 4142) to get the distance of he second phalanges and multiplies the length again by radical 2 to get the length of the third phalanges. Next, he takes the finger length and multiplies it again by radical 2 to get the length Of the palm from the base Of the ringer to the ulna. This geometric series of measurements progress until Polytheists has formed the arm, chest, body, and so on. Other proportions ar e less set. For example, the ideal body should be 8 heads high and 2 heads wide. However, ordinary figures are ah heads tall while heroic figures are ah heads tall. Edit]Renaissance The Renaissance saw a rebirth of Classical Greek and Roman culture and ideas, among them the study tot mathematics as a relevant subject needed to understand nature and the arts. Two major reasons drove Renaissance artists towards the pursuit of mathematics. First, painters needed to figure out how to depict three-dimensional scenes on a two-dimensional canvas, Second, philosophers and artists alike were convinced that mathematics was the true essence of the physical world and that the entire universe, including the arts, could be explained in geometric terms. 1 7] In light of these factors, Renaissance artists became some of the best applied mathematicians of their times. Edit]Paolo Cello Italian painter Paolo Cello (1397?1475) was fascinated by the study Of perspective. A marble mosaic in the floor of the San Marco Basilica in Venice featuring the small castellated dodecahedron is attributed to Cello. Piper Della Francesca Rays of light travel from the eye to an object. Where those rays hit the picture plane, the object is drawn. Piper Della Francesca (c. 1415-1492), an early Renaissance artist from Italy, exemplified this new shift in Renaissance thinking. A Fairy Tale EssayIt is believed that Leonardo, as a mathematician, purposefully made this painting line up with Golden Rectangles in this fashion in order to further the incorporation Of mathematics into art. A Golden Rectangle whose base extends from her right Mist to her left elbow and reaches the top Of her very head can be constructed. This Golden Rectangle can be then further subdivided into smaller Golden Rectangles and can be drawn to produce the Golden Spiral. Also a viewer can note that all these edges of the new rectangles come to intersect the focal points of Mona Lisa: chin, eye, nose, and upturned corner of her mouth. It is also worth mentioning that the overall shape of the woman is a triangle with her arms as the base and her head as the tip. This is meant to draw attention to the face of the woman in the portrait. [411 Leonard Vitiation Man In The Last Supper, Leonardo sought to create a perfect harmonic balance teen the placement of the characters and the background. He did intensive studies on how the characters should be arranged at the table. The entire painting was constructed in a tight ratio of entire piece measures 6 by 12 units. The wall in the back is equal to 4 units. The windows are 3 units and the recession of the tapestries on the side walls is In Vitiation Man, Leonardo used both image and text to express the ideas and theories of Vitreous, a first century Roman architect and author of De Architecture Libra X. The Vitiation ideas formed the basis of Renaissance proportion theories in art and architecture. Various artists and architects had illustrated Vitreous theory prior to Leonardo, but Leonardo drawing differs from the previous works in that the male figure adopts two different positions within the same image. He is simultaneously within the circle and the square; movement and liveliness are suggested by the figures active arms and legs. The thin lines on his form show the significant points of the proportion scheme. These lines indicate Leonardo concern With the architectural meaning Of the work. Leonardo is representing the body as a building and illustrating Renaissance theory Which linked the proportions Of the human body With architectural planning. longitudinal and modern times littlenesss tiles Rhombi Penrose Tiling Named after Roger Penrose, Penrose tiles are nonperforming tiles generated from a simple base tile. In its simplest form, it consists of 36- and 72-degree rhombuses, with matching rules torching the rhombuses to line up against each other only in certain tiles lack translational symmetry due to its nonproductive, and any finite region in a tiling appears infinitely many times in the Both visually complex and simple at the same time, Penrose tiles rise from basic mathematical principles and can be viewed as intricately related to the golden ratio. Two notable relationships between Penrose tiles and the Golden ratio are: 1. The ratio of thick to thin rhombuses in the infinite tile is the golden ratio 1. 618_ 2. The distances between repeated patterns in the tiling grow as Fibonacci numbers when the size of the repetition increases. [titled P reject Located near SST. Austral in Southwestern England, the Eden Project has interchangeableness composed Of geodesic domes (also known as biomass). Known to many as a visitor attraction with the worlds largest greenhouse, he Eden Project is a dedication to preserving nature and the mathematics embedded in natures design. Throughout the center visitors can notice intricate patterning of pentagons and hexagons that form unique architectural structures mimicking natures simple and complex shapes. Additionally, the Eden Project biomass house plant species from around the world with each honeycomb like dome emulating a natural environment. California Polytechnic State University Like many college campuses throughout the U. S. A. Trying to inspire its students, the Engineering Plaza of California Polytechnic State University was designed to incorporate the Fibonacci sequence and golden spiral. Campus buildings were designed around the concept of the golden spiral which is defined at the very center by the three core buildings. The outward spiraling arc can be seen below and extends throughout the campus] M C. Sheer Circle Limit Ill by M_C, Sheer (1959) A renowned artist born in 1898 and died in 1972, M. C. Sheer was known for his mathematically inspired Ochers interest in tessellations, polyhedrons, shaping of space, and self-reference manifested itself in his work throughout his career. In timeshare Sketch, Sheer showed that art can be created With polygons or regular shapes such as triangles, squares, and hexagons. Sheer used irregular polygons When tiling the plane and often used reflections, glide reflections, and translations to obtain many more patterns. Additionally, Sheer arranged the shapes to simulate images Of animals and Other figures. His work can be noted in Development 1 and Cycles. Ochers was also interested in a specific type of polyhedron that appears many times in his work. These polyhedrons are defined as solids that have exactly similar polygonal faces, also known as Platonic solids. These Platonic solids, tetrahedrons, cubes, octahedrons, dodecahedron, and icosahedrons stimulations are especially prominent in Order and Chansons Four Regular Solids. 51] Here these castellated figures often reside within another figure which further distorts the viewing angle and conformation of the polyhedrons and providing a alliterated perspective Additionally, Sheer worked with the shape and logic of space in Three Intersecting Planes, Snakes, High and Low, and Waterfall. Many of Ochers works contain impossible constructions, made using geometrical objects that cannot exist but are pleasant to the human sight. Some of Ochers tessell ation drawings were inspired by conversations with the mathematician H. S. M. Octogenarians hyperbolic geometry. Relationships between the works of mathematician Kurt Gà ¶del, artist C. Sheer and congressperson Sebastian Bach are explored in Gà ¶del, Sheer, Bach, a Pulitzer Prize-winning book. Edit]Savior Dali Dalais 1954 painting Crucifixion (Corpus Hypercube) Salvador Dali (1904-1989) incorporated mathematical themes in several of his later works. His 1954 painting Crucifixion (Corpus Hypercube) depicts a crucified figure upon the net of uppercase. In The Sacrament of the Last Supper (1955) Christ and his disciples are pictured inside a giant dodecahedron. Dalais last painting, The Swallows Tail (1983), was part of a series inspired by Reneà © Toms catastrophe theory. Pablo Palazzo Pablo Palazzo (1969-2007) was a contemporary Spanish painter and sculptor soused on the investigation of form. Heavily influenced by cubism and Paul Sleek, Palazzo developed a unique style that he described as the geometry of elite and the geometry of all nature. Consisting of simple geometric shapes with detailed patterning and coloring, Palenesss work was noted as powerful, attractive, unhesitant, enigmatic, and always new. From works such as Angular to Automate, Palazzo expressed himself in geometric transformations and translations. Over time as Carmen Bone notes, Palenesss work evolved very rapidly toward an abstract-geometric language of increasing purity. [edition Robinson John Robinson (1935?2007) was originally a sheep farmer who turned to sculpting. He began a serious sculpting career at the age of 35. Robinson was deeply interested in astronomy mathematical relationships According to Ronald Brown, Robinsons work was extraordinary because of its proportion, line, rhythm, finish, the resonance of the titles and the forms, and because some of the complex forms, such as Rhythm of Life, had hardly been visualized in such an exact way. Robinsons work from Gordian Knot to Bands Of greenish displayed highly complex mathematical knot theory in polished bronze for the public to e. 55] Many mathematicians working in the field Of topology and specifically with tortures see mathematical relationships in Robinsons sculptures. Rhythm Of Life arose from experiments With wrapping a ribbon around an inner tube and finding it returned to itself. Genesis evolved from an attempt at making Barrymore rings-a set of three circles, no two of which link but in which the whole structure cannot be taken apart without breaking. Many of Robinsons works express the theme of common humanity. In Dependent Beings, the sculpture comprises a square that twists as it travels around the circle, giving it a noonday of two strips in contrasting textures- The Eightfold Way Sculptor Hellman Ferguson has made sculptures in various materials of a wide range tot complex surfaces and other topological objects. His work is motivated specifically by the desire to create visual representations of mathematical objects. Ferguson has created a sculpture called The Eightfold Way at the Berkeley, California, Mathematical Sciences Research Institute based on the projective special linear group SSL(2,7), a finite group of 168 elements. fractal art The Mandelbrot set, a common example of fractal art Main article: Fractal art The processing power Of modern computers allows mathematicians and non-mathematicians to visualize complex mathematical objects such as the Mandelbrot set.
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